Cleveland Cavaliers' LeBron James flicks out a pass against the Indiana Pacers' Bojan Bogdanovic.
Bucks: Antetokounmpo has now scored at least 20 points in eight consecutive games against the Celtics.
IN was in control from the outset, opening a 21-point lead in the first quarter and leading by 23 in the third.
Brown has made tremendous strides from his rookie season, learning how to effectively get points off the dribble, improving his 3-point stroke and looking lost less often on the defensive end.
The Pacers completely outplayed the three-time defending conference champions, whose turbulent regular season has carried over into the playoffs.
Then it was Terry Rozier's turn.
Game two is Thursday (NZT).
"But we stayed resilient, went to overtime, and got the win". Even after Irving was ruled out for the remainder of the season and postseason, the Celtics reeled off several impressive wins and put together a winning record down the stretch.
"Learning from last year's failures will only fuel him for this year".
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Middleton scored 31 points, while Giannis Antetokounmpo had 35 points and 13 rebounds before fouling out with 13 seconds left in overtime, for the Bucks.
Rajon Rondo finished with 17 assists, eight rebounds and 6 points as New Orleans won the backcourt battle on top of Davis dominating the interior.
As the Bucks get set for Game 2 on Tuesday in Boston, Antetokounmpo is hopeful that his team can clean up the mistakes that forced it into such a precarious position in the first place.
It was 108-106 when Horford snared a rebound and got it ahead to Rozier, who was fouled.
Antetokounmpo made one of two foul shots with 14.8 seconds left, but he fouled out while going for the rebound on his miss.
Rozier added three free-throws to provide the final margin.
The Milwaukee Bucks have another chance to steal home court advantage before going home for game three. He's played the best ball of his career this season, appearing in 80 games (16 starts) and averaging career highs in points (11.3), rebounds (4.7) and assists (2.9).
Getting Smart back on the floor might not give the Celtics much of the scoring punch they're losing without Hayward and Irving, but he's one of the league's best individual defenders.
Malcolm Brogdon's 3-pointer had lifted the Bucks level at 96-96 with 10.3 seconds remaining.
Rozier went back to the line and hit one of two with 13.0 seconds left.
The Boston Celtics have received a boost with Marcus Smart saying he will "definitely" be fit for the second round of the National Basketball Association playoffs.